On the section conjecture and Brauer–Severi varieties

J. Stix proved that a curve of positive genus over $\mathbb{Q}$ which maps to non-trivial Brauer-Severi variety satisfies the section conjecture. We prove that, if $X$ is number field $k$ and Weil restriction $R_{k/\mathbb{Q}}X$ admits rational map variety, then As consequence, $P$ such corestriction $\operatorname{cor}_{k/\mathbb{Q}}([P])\in\operatorname{Br}(\mathbb{Q})$ non-trivial,